Solve 15k^4m^3/5km^2

$$\frac { 15 k ^ { 4 } m ^ { 3 } } { 5 k m ^ { 2 } }$$

Evaluate

$$3mk^{3}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{15^{1}k^{4}m^{3}}{5^{1}k^{1}m^{2}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{15^{1}}{5^{1}}k^{4-1}m^{3-2}$$

Subtract 1 from 4.

$$\frac{15^{1}}{5^{1}}k^{3}m^{3-2}$$

Subtract 2 from 3.

$$\frac{15^{1}}{5^{1}}k^{3}m^{1}$$

Divide 15 by 5.

$$3k^{3}m$$

Differentiate w.r.t. m

$$3k^{3}$$